3 years ago

Answer the following question

Mathematics

1 answer:

Finger [1]3 years ago

5 0

Step-by-step explanation:

the answer is 4.8 hope it helps

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Δ HFM- Δ PST What is the perimeter of triangle PST? Enter your answer in the box.

fgiga [73]

Step-by-step explanation:

$\triangle HFM \sim \triangle PST... (Given) \\\\\therefore \frac{HF}{PS} = \frac{FM}{ST} = \frac{HM}{PT}...(csst) \\ \\ \therefore \frac{30}{PS} = \frac{35}{ST} = \frac{45}{9}\\ \\ \therefore \frac{30}{PS} = \frac{35}{ST} = \frac{5}{1} \\ \\ \therefore \frac{30}{PS} = \frac{5}{1} \\ \\ \therefore PS = \frac{30}{5} \\ \\\boxed{ \therefore PS = 6 }\\ \\ \because \: \frac{35}{ST} = \frac{5}{1} \\ \\ \therefore \: ST = \frac{35}{5} \\ \\ \boxed{\therefore \: ST = 7} \\ \\ perimeter \: of \: \triangle PST \\ = 9 + 7 + 6 \\ = 22 \: units$